scholarly journals Mathematical model of the problem of accounting for losses in electrical networks when optimizing the loads of electrical consumers

2021 ◽  
Vol 289 ◽  
pp. 07024
Author(s):  
Tulkin Gayibov ◽  
Kamal Reymov ◽  
Arislan Aytbaev
Keyword(s):  
Mathematical Model ◽  
Power Systems ◽  
Load Management ◽  
Optimal Planning ◽  
Effective Algorithm ◽  
Electrical Networks ◽  
Short Term ◽  
Relative Gains

Based on the improvement of existing algorithms, an effective algorithm and program for taking into account the network factor have been developed for optimal planning of short-term modes of power systems with control of the load of power consumers, based on the restructuring of the dependences of the relative gains of losses on the power of nodes with settlement stations and regulated power consumers. As a result, it is possible to determine the optimal short-term modes of power systems, taking into account the network factor in terms of load management of power consumers.

scholarly journals Mathematical Models and Algorithms of Optimal Load Management of Electricity Consumers

2019 ◽  
Vol 62 (6) ◽  
pp. 528-535 ◽  
Author(s):  
I. U. Rakhmonov ◽  
K. M. Reymov
Keyword(s):  
Mathematical Model ◽  
Power Systems ◽  
Power System ◽  
Experimental Studies ◽  
Optimal Planning ◽  
Short Term ◽  
Planning Period ◽  
Efficient Operation ◽  
Load Profile ◽  
Optimal Load

Load profile alignment based on optimal power consumption management is considered to be one of the main ways to ensure efficient operation of energy systems in the short-term planning. Alignment load profile with a view to reducing costs can be implemented with the aid of consumers’ involvement by administrative and economic measures. Administrative measures are associated with the forced restriction of consumer loads in certain intervals of the planning period. On one hand, these measures provide benefits to the power system by alignment load profile, and on the other hand, they cause detriment to consumers. Ultimately, in some cases, for the whole power system, the detriment may be greater than the benefits. Therefore, it is advisable to use administrative measures in conditions of shortage of power and electricity in the power system. Optimal planning of short-term regimes of power systems according to rigid load profile received after alignment can be carried out by traditional methods. The solution of such a problem ought to be initially carried out under conditions of non-rigid load profile resulting from the directive use of administrative and economic measures carried out with the help of specially developed models. In this regard, the paper proposes a mathematical model of the problem of optimizing load profile of regulated electricity consumers to be used for optimal planning of shortterm power system modes, an algorithm for optimal planning of a short-term power system mode with optimizing load profile of regulated power consumers. Also, algorithms are proposed for accounting for simple and functional constraints in the form of equalities and inequalities when optimizing load profile. The effectiveness of the described algorithm for optimizing the short-term mode of the power system, taking into account the optimal load control of adjustable electricity consumers, has been studied using the example of optimal coverage of the load profile of power system, which contains two consumers with adjustable load profile, and two TPPs. Based on the calculated-and-experimental studies, it was determined that the proposed mathematical model of the problem is adequate, while the developed algorithms for optimal planning of short-term power system modes with optimization of load profile of regulated electricity consumers and taking into account various types of limitations are of high computational qualities.

scholarly journals Mathematical models and algorithms of optimal load management of electrical consumers

2020 ◽  
Vol 216 ◽  
pp. 01166
Author(s):  
K M Reymov ◽  
G M Turmanova ◽  
S K Makhmuthonov ◽  
B A. Uzakov
Keyword(s):  
Mathematical Model ◽  
Power Systems ◽  
Power System ◽  
Experimental Studies ◽  
Optimal Planning ◽  
Short Term ◽  
Planning Period ◽  
Efficient Operation ◽  
Load Profile ◽  
Optimal Load

The article investigated the static, dynamic and metrological characteristics of new magnetoelastic force sensors taking into account the distribution of Load profile smoothing based on optimal power management is considered to be one of the main ways to ensure efficient operation of energy systems in the short-term planning. Smoothing load profile with a view to reducing costs can be implemented on the ways in which consumers could be affected by administrative and economic measures. Administrative measures are associated with the forced restriction of consumer loads in certain intervals of the planning period. On the one hand, these measures provide benefits to the power system by smoothing load profile, and on the other hand, they cause damage to consumers. Ultimately, in some cases, the damage may be greater than the benefits as a whole to the power system. Therefore, it is advisable to use them in conditions of shortage of power and electricity in the power system. Optimal planning of short-term regimes of power systems according to received, after alignment, rigid load profile can be carried out by traditional methods. The solution of such a problem can be initially carried out under conditions of non-rigid load profile resulting from the directive use of administrative and economic measures carried out with the help of specially developed models. In this regard, the paper proposes a mathematical model of the problem of optimizing load profile of regulated electrical consumers with optimal planning of short-term power system modes, an algorithm for optimal planning of a short-term power system mode with optimizing load profile of regulated power consumers. And also, algorithms are proposed for accounting for simple and functional constraints in the form of equalities and inequalities when optimizing load profile. The effectiveness of the described algorithm for optimizing the short-term mode of the power system, taking into account the optimal load control of adjustable electric locomotives, has been studied using the example of optimal coverage of the load profile of power system, which contains two consumers with adjustable load profile, and two TPPs. Based on the calculated experimental studies computational qualities, it was determined that the proposed mathematical model of the problem is adequate, the developed algorithms for optimal planning of short-term power system modes with optimization of load profile of regulated electric consumers and taking into account various types of limitations have high computational qualities.

scholarly journals Optimization of Short-term Modes of Hydrothermal Power System

2020 ◽  
Vol 209 ◽  
pp. 07014
Author(s):  
Tulkin Gayibov ◽  
Bekzod Pulatov
Keyword(s):  
Power Systems ◽  
Power System ◽  
Power Plants ◽  
Optimal Planning ◽  
Hydroelectric Power ◽  
Short Term ◽  
Planning Period ◽  
Time Intervals ◽  
Large Power ◽  
Integral Constraints

Optimal planning of short-term modes of power systems is a complex nonlinear programming problem with many simple, functional and integral constraints in the form of equalities and inequalities. Especially, the presence of integral constraints causes significant difficulties in solving of such problem. Since, under such constraints, the modes of power system in separate time intervals of the considered planning period become dependent on the values of the parameters in other intervals. Accordingly, it becomes impossible to obtain the optimal mode plan as the results of separate optimization for individual time intervals of the period under consideration. And the simultaneous solution of the problem for all time intervals of the planning period in the conditions of large power systems is associated with additional difficulties in ensuring the reliability of convergence of the iterative computational process. In this regard, the issues of improving the methods and algorithms for optimization of short-term modes of power systems containing thermal and large hydroelectric power plants with reservoirs, in which water consumption is regulated in the short-term planning period, remains as an important task. In this paper, we propose the effective algorithm for solving the problem under consideration, which makes it possible to quickly and reliably determine the optimal operating modes of the power system for the planned period. The results of research of effectiveness of this algorithm are presented on the example of optimal planning of daily mode of the power system, which contains two thermal and three hydraulic power plants..

scholarly journals Power System Mode optimization by piecewise-linear approximation of energy characteristics of Power Plants

2019 ◽  
Vol 139 ◽  
pp. 01086 ◽  
Author(s):  
Tulkin Gayibov ◽  
Sherxon Latipov ◽  
Bakhadir Uzakov
Keyword(s):  
Power System ◽  
Linear Approximation ◽  
Power Plants ◽  
Piecewise Linear ◽  
Piecewise Linear Approximation ◽  
Optimal Planning ◽  
Effective Algorithm ◽  
Short Term ◽  
Energy Characteristics ◽  
System Mode

The issues of improving of methods and algorithms for power system short-term mode optimal planning are considered. The main disadvantages and calculation difficulties typical for traditional algorithms are described. An effective algorithm for power system mode optimization based on a piecewise- linear approximation of nonlinear dependencies is proposed. Application of the proposed algorithm can effectively increase the accuracy and overcome many calculation difficulties associated with discontinuity of energy characteristics of power plants and various constraints in the form of equality and inequality.

scholarly journals Consideration of limitations in the form of inequalities in optimal planning of power systems regimes under uncertainty initial information

2021 ◽  
Vol 289 ◽  
pp. 07005
Author(s):  
Sh.Sh. Latipov ◽  
A.E. Shanazarov ◽  
I.B. Ikramdjanov
Keyword(s):  
Power Systems ◽  
Efficient Algorithm ◽  
Computational Experiments ◽  
Optimal Planning ◽  
Short Term ◽  
Initial Information

In the article the issues of taking into account of constraints in the form of inequality in optimal planning of short-term modes of power systems are considered. An efficient algorithm for solving of the problem is offered. On the basis of computational experiments for specific problems of optimal planning of modes of power systems the efficiency of the proposed algorithm is revealed.

scholarly journals Improved model for investigating transient stability in multimachine power systems

2019 ◽  
Vol 13 (1) ◽  
pp. 368
Author(s):  
Ali Hamzeh ◽  
Zakaria Al-Omari
Keyword(s):  
Mathematical Model ◽  
Power Systems ◽  
Computer Program ◽  
Transient Stability ◽  
Stability Study ◽  
Small Sample ◽  
General Algorithm ◽  
Electrical Networks ◽  
Protective Relays ◽  
Improved Model

<span>The determinant factor in transient stability study of electric power systems is the behavior of synchronous generators when subjected to sudden and large disturbances. The objective of this paper is to develop a mathematical model, general algorithm, and a computer program to investigate the transient stability of multi-machine power systems. The developed mathematical model is established as a first step. The new developments lie in modeling the fault occurrence and fault clearance as well as the procedure of computing the system matrices during and after the fault through only modification of the matrix before the fault. Based on the developed mathematical model, a general algorithm was built and translated into a computer program using an object-oriented and visual language called Delphi. The algorithm adopted the Runge-Kutta method for numerical solution of differential swing equations and was programmed within the program. The developed program was validated by applying it to small sample electrical networks. The program was used to analyze the transient stability of a relatively large test network and accurate results were obtained that could be relied upon for protective relays settings and optimization of control system parameters. It was found that the developed program is an effective and rapid tool for estimating transitory stability for real power systems.</span>

EXPERIMENTAL STUDIES OF CAR PROPERTIES ON A PHYSICAL MODEL

2019 ◽  
pp. 10-16
Author(s):  
Oleksii Timkov ◽  
Dmytro Yashchenko ◽  
Volodymyr Bosenko
Keyword(s):  
Mathematical Model ◽  
Remote Control ◽  
Physical Model ◽  
Model Experiment ◽  
Experimental Studies ◽  
Electrical Energy ◽  
Short Term ◽  
Motor Current ◽  
Memory Card ◽  
The Mathematical Model

The article deals with the development of a physical model of a car equipped with measuring, recording and remote control equipment for experimental study of car properties. A detailed description of the design of the physical model and of the electronic modules used is given, links to application libraries and the code of the first part of the program for remote control of the model are given. Atmega microcontroller on the Arduino Uno platform was used to manage the model and register the parameters. When moving the car on the memory card saved such parameters as speed, voltage on the motor, current on the motor, the angle of the steered wheel, acceleration along three coordinate axes are recorded. Use of more powerful microcontrollers will allow to expand the list of the registered parameters of movement of the car. It is possible to measure the forces acting on the elements of the car and other parameters. In the future, it is planned to develop a mathematical model of motion of the car and check its adequacy in conducting experimental studies on maneuverability on the physical model. In addition, it is possible to conduct studies of stability and consumption of electrical energy. The physical model allows to quickly change geometric dimensions and mass parameters. In the study of highway trains, this approach will allow to investigate the various layout schemes of highway trains in the short term. It is possible to make two-axle road trains and saddle towed trains, three-way hitched trains of different layout. The results obtained will allow us to improve not only the mathematical model, but also the experimental physical model, and move on to further study the properties of hybrid road trains with an active trailer link. This approach allows to reduce material and time costs when researching the properties of cars and road trains. Keywords: car, physical model, experiment, road trains, sensor, remote control, maneuverability, stability.

scholarly journals A Method for Autonomous Navigation and Positioning of UAV Based on Electric Field Array Detection

Sensors ◽  
2021 ◽  
Vol 21 (4) ◽  
pp. 1146 ◽  
Author(s):  
Yincheng Li ◽  
Wenbin Zhang ◽  
Peng Li ◽  
Youhuan Ning ◽  
Chunguang Suo
Keyword(s):  
Mathematical Model ◽  
Power Systems ◽  
Transmission Lines ◽  
Autonomous Navigation ◽  
Strength Distribution ◽  
Field Source ◽  
Navigation Algorithm ◽  
Safety Warning ◽  
Positioning Algorithm ◽  
Navigation Equipment

At present, the method of using unmanned aerial vehicles (UAVs) with traditional navigation equipment for inspection of overhead transmission lines has the limitations of expensive sensors, difficult data processing, and vulnerable to weather and environmental factors, which cannot ensure the safety of UAV and power systems. Therefore, this paper establishes a mathematical model of spatial distribution of transmission lines to study the field strength distribution information around transmission lines. Based on this, research the navigation and positioning algorithm. The data collected by the positioning system are input into the mathematical model to complete the identification, positioning, and safety distance diagnosis of the field source. The detected data and processing results can provide reference for UAV obstacle avoidance navigation and safety warning. The experimental results show that the positioning effect of the positioning navigation algorithm is obvious, and the positioning error is within the range of use error and has good usability and application value.

Supercritical Carbon Dioxide Brayton Cycles Driven by Solar Thermal Power Tower System

2015 ◽  
Vol 1116 ◽  
pp. 94-129 ◽  
Author(s):  
Maimoon Atif ◽  
Fahad A. Al-Sulaiman
Keyword(s):  
Carbon Dioxide ◽  
Mathematical Model ◽  
Power Systems ◽  
Solar Power ◽  
Current Model ◽  
Thermal Power ◽  
Solar Thermal ◽  
Solar Thermal Power ◽  
Thermal Energy Storage Systems ◽  
Tower System

This chapter starts with a background about concentrating solar power systems and thermal energy storage systems and then a detailed literature review about concentrated solar power systems and supercritical Brayton carbon dioxide cycles. Next, a mathematical model was developed and presented which generates and optimizes a heliostat field effectively. This model was developed to demonstrate the optimization of a heliostat field using differential evolution, which is an evolutionary algorithm. The current model illustrates how to employ the developed model and its advantages. The optimization process calculates the optical performance parameters at every step of the optimization considering all the heliostats; thus yields accurate results as discussed in this chapter. On the other hand, complete mathematical model of supercritical CO2Brayton cycles when integrated with solar thermal power tower system was presented and discussed.

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